Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 138205 Luke Durant 1 58.0015 33253 Curtis Cooper 9 56.5769 29923 Patrick Laroche 1 56.4714 24378 Jonathan (Jon) Pace 1 56.2664 20610 Ryan Propper 376 56.0985 5909 Tom Greer 129 54.8493 4782 Serge Batalov 388.333 54.6376 4101 Edson Smith 1 54.4841 3967 Odd Magnar Strindmo 1 54.4507 2603 Hans-Michael Elvenich 1 54.0294 1575 Steven R. Boone 1 53.5273 1521 Péter Szabolcs 1 53.4922 1489 Dr. James Scott Brown 199 53.4706 1010 Antonio Lucendo 36 53.0831 1004 Anonymous Person(s) 168 53.0766 870 Dr. Martin Nowak 1 52.9330 778 Mark Williams 13 52.8212 687 Josh Findley 1 52.6968 660 Vaughan Davies 151 52.6573 634 Valter Cavecchia 94 52.6167

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.